These fans are not great I have one fitted in the house we rent and afterwards had to get an ordinary fan cored out through the kitchen wall to take away any excess cooking smell and steam

if It’s on an external wall then core a hole and fit a new extractor, or maybe your recirc can be vented also

With regards to the smell, have you got carbon filters fitted? This would take away the smell in a recirculating extractor. The clean air is then let back into the room at the top of extractor.
These should have been supplied with the extractor.
If you were quoted for extractor to be fitted then it should say if it was vented out. Then you would be within your rights to get them to alter it if you wanted.
hope this helps

Normally extractors are suitable for both - ducting and recirculation. Ducting out is always better but recirculation is an option if ducting is too complicated or impossible. I can agree that recirculating has to be fitted with carbon filters what you need to change from time to time depending on cooking, says once or twice in a year.
If you had a hole and it was in the right possition, you can check the ectractor suitability by model online. And if it is suitable for ducting then you just need to open the same hole. I cant say for sure as probably it was too complicated to run it through the ceiling, says pipe broken, diameter not big enougth or whatewer.
I would try to check if there are carbon filters installed and would install them if not to check how it works.